Stability Analysis and Estimation of the Parametric Robust Space of a Nonlinear Composite System

Yan, Xinggang and Dai, Guan-Zhong
(1999)
Stability Analysis and Estimation of the Parametric Robust Space of a Nonlinear Composite System.
IMA Journal of Mathematical Control and Information,
16
(4).
pp. 353-362.
(doi:10.1093/imamci/16.4.353 )
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Abstract

In this paper, by exploiting differential geometric theory, the problem of robust stability of nonlinear composite systems is transformed to the corresponding problem of a class of nonlinear composite systems possessing linear isolated subsystems. Then, some criteria of robust stability are shown, and a method of dealing with general interconnections is presented. Finally, an example is introduced to illustrate our result and a method of estimating the parametric robust space of nonlinear composite systems.